Pith Number

pith:2IZB4OSI

pith:2023:2IZB4OSILZYAMGTXDY6TFWLJZ7

not attested not anchored not stored refs pending

Alexander Polynomials of closed alternating braids

Mark E. AlSukaiti, Nafaa Chbili

arxiv:2310.14539 v1 · 2023-10-23 · math.GT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2IZB4OSILZYAMGTXDY6TFWLJZ7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Spectral Factorization and Hypergeometric Representations of the Alexander Polynomials of $Th(4,2n+1)$

Receipt and verification

First computed	2026-07-05T07:03:46.063248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2321e3a485e70061a771e3d32d969cfdad22fd682cb62853b605474ac6a717b

Aliases

arxiv: 2310.14539 · arxiv_version: 2310.14539v1 · doi: 10.48550/arxiv.2310.14539 · pith_short_12: 2IZB4OSILZYA · pith_short_16: 2IZB4OSILZYAMGTX · pith_short_8: 2IZB4OSI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2IZB4OSILZYAMGTXDY6TFWLJZ7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d2321e3a485e70061a771e3d32d969cfdad22fd682cb62853b605474ac6a717b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb700dd149f4ff5c1c734274038966c3e607ad9ad93d0c0525a90d834e36a680",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-10-23T03:43:13Z",
    "title_canon_sha256": "a30c6d78731f98afbe821fc22b42a14c6cc64593f14910f1526ee5eabe22baa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.14539",
    "kind": "arxiv",
    "version": 1
  }
}